y=Intan(X/2)求导

题目详情

y=Intan(X/2)求导

▼优质解答

答案和解析

y=lntan(x/2)
y'=[1/tan(x/2)]*[tan(x/2)]'
=[1/tan(x/2)]*sec²(x/2)*(x/2)'
=[1/tan(x/2)]*sec²(x/2)*(1/2)
=1/[tan(x/2)*cos²(x/2)*2]
=1/[2sin(x/2)*cos(x/2)]
=1/sinx

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